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arXiv · 2503.09891

Signs of Non-Monotonic Finite-Volume Corrections to $g_A$

Zack B. Hall·Dimitra A. Pefkou·Aaron S. Meyer·Thomas R. Richardson·Raúl A. Briceño·M. A. Clark·Martin Hoferichter·Emanuele Mereghetti·Henry Monge-Camacho·Colin Morningstar·Amy Nicholson·Pavlos Vranas·André Walker-Loud
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Abstract

We study finite-volume (FV) corrections to determinations of $g_A$ via lattice quantum chromodynamics (QCD) using analytic results and numerical analysis. We observe that $SU(2)$ Heavy Baryon Chiral Perturbation Theory does not provide an unambiguous prediction for the sign of the FV correction, which is not surprising when one also considers large-$N_c$ constraints on the axial couplings. We further show that non-monotonic FV corrections are naturally allowed when one considers either including explicit $\Delta$-resonance degrees of freedom or one works to higher orders in the chiral expansion. We investigate the potential impact of these FV corrections with a precision study of $g_A$ using models of FV corrections that are monotonic and non-monotonic. Using lattice QCD data that is approximately at the 1% level of precision, we do not see significant evidence of non-monotonic corrections. Looking forward to the next phase of lattice QCD calculations, we estimate that calculations that are between the 0.1%-1%-level of precision may be sensitive to these FV artifacts. Finally, we present an update of the CalLat prediction of $g_A$ in the isospin limit with sub-percent precision, $g_A^{\rm QCD} = 1.2674(96)$.

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Zack B. Hall, Dimitra A. Pefkou, Aaron S. Meyer, Thomas R. Richardson, Raúl A. Briceño, M. A. Clark, Martin Hoferichter, Emanuele Mereghetti, Henry Monge-Camacho, Colin Morningstar, Amy Nicholson, Pavlos Vranas, André Walker-Loud. 2025-03-12. Signs of Non-Monotonic Finite-Volume Corrections to $g_A$. https://arxiv.org/abs/2503.09891

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